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Elena-2011 [213]
3 years ago
10

Problem 6

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

8 rabbits

22 chickens

Step-by-step explanation:

c = chickens

r = rabbits

heads - c + r = 30

legs - 2c + 4r = 76

We can now use these two equations to create one by isolating the variable (c) in the first equation.

c = 30 - r

2c + 4r = 76

2(30 - r) + 4r = 76

60 - 2r + 4r = 76

2r = 16

r = 8

Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm The area of the rectangle is _sq. cm.
Harman [31]

Answer:

The area of rectangle is 2\frac{80}{81}\ cm^2

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

we have

P=7\frac{1}{3}\ cm=7+\frac{1}{3}=\frac{22}{3}\ cm

so

\frac{22}{3}=2(L+W)

\frac{11}{3}=(L+W) ----> equation A

Remember that

The length of a rectangle is twice its width.

so

L=2W ----> equation B

substitute equation B in equation A

\frac{11}{3}=(2W+W)

solve for W

W=\frac{11}{9}\ cm

Find the value of L

L=2(\frac{11}{9})

L=\frac{22}{9}\ cm

<em>Find the area of rectangle</em>

A=LW

substitute the values

A=(\frac{22}{9})(\frac{11}{9})

A=\frac{242}{81}\ cm^2

Convert to mixed number

\frac{242}{81}\ cm^2=\frac{162}{81}+\frac{80}{81}=2\frac{80}{81}\ cm^2

7 0
3 years ago
You arrive to science class 45 seconds after leaving math which is 90 meters away. how fast did you travel?
galben [10]
Speed = distance/time
Speed = 90 meters/45 seconds
Simplify the above answer
Speed = 2 meters/second
You can double-check this: You walk 2 meters per second, so multiply 2 by 45 (that is how many seconds), and you get 90.
6 0
3 years ago
Please don't answer just for points!! this is for my semester grade!!!
julsineya [31]

Answer:

x=11 and the number of solutions is one solution

Step-by-step explanation:

The square root of 121 is 11. There are no other solutions, I believe.

6 0
3 years ago
Read 2 more answers
if an airplane travels 660 mph how long will it take an airplane to travel to a distance of 2970 miles?
vazorg [7]

Answer:

4 hours and 30 minutes.

Step-by-step explanation:

660 miles = 1 hour
1320 miles = 2 hours
1980 miles = 3 hours
2640 miles = 4 hours

There are only 330 miles left and that is half of 660mph so therefore it would only take half an hour for these last 330 miles.

So we know that it will be taking 4 hours, you would then add the 30 minutes which gives you 4 hours and 30 minutes.

Hope this helps!

4 0
2 years ago
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Over [174]
The scale factor is 1
4 0
3 years ago
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